Evaluate: (i) intcot^(-1)((sin2x)/(1-cos...

Evaluate: (i) `intcot^(-1)((sin2x)/(1-cos2x))\ dx` (ii) `intsin^(-1)((2tanx)/(1+tan^2x))\ dx`

AI Generated Solution

INCREASING AND DECREASING FUNCTION
RD SHARMA ENGLISH|Exercise All Questions|232 Videos
INVERSE TRIGONOMETRIC FUNCTION
RD SHARMA ENGLISH|Exercise All Questions|531 Videos

Similar Questions

Explore conceptually related problems

Evaluate: (i) inttan^(-1)((sin2x)/(1+cos2x))\ dx (ii) intcos^(-1)(sinx)\ dx

Evaluate: int e^(x)((sin2x-2)/(1-cos2x))dx=

Evaluate: inte^(2x)\ ((1+sin2x)/(1+cos2x))\ dx

Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

Evaluate intcot^(-1)(x^(2)+x+1)dx

int(2+sin2x)/(1+cos2 x)dx

Evaluate int e^(2x) ((1+ sin 2x)/(1+cos 2x))dx

Evaluate: inte^x\ ((2+sin2x)/(1+cos2x))\ dx

Evaluate: (i) int1/(1+cos2x)\ dx (ii) int1/(1-cos2x)\ dx
Text Solution
|
Evaluate: (i) inttan^(-1)((sin2x)/(1+cos2x))\ dx (ii) intcos^(-1)(sinx...
Text Solution
|
Evaluate: (i) intcot^(-1)((sin2x)/(1-cos2x))\ dx (ii) intsin^(-1)((2ta...
Text Solution
|
Evaluate int((x^(3)+8)(x-1))/(x^(2)-2x+4)dx
Text Solution
|
Evaluate: (i) int(x^3-3x^2+5x-7+x^2\ a^x)/(2x^2)\ dx (ii) int(cosx)/(1...
Text Solution
|
Evaluate: (i) int(1-cosx)/(1+cosx)\ dx (ii) int{3sinx-4cosx+5/(cos^2x...
Text Solution
|
If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .
Text Solution
|
If f^(prime)(x)=x+b ,\ \ f(1)=5,\ \ f(2)=13 , find f(x) .
Text Solution
|
If f^(prime)(x)=8\ x^3-2x ,\ \ f(2)=8, find f(x) .
Text Solution
|
If f^(prime)(x)=asinx+bcosx and f^(prime)(0)=4,\ \ f(0)=3,\ \ f(pi/2)=...
Text Solution
|
Write the primitive or anti-derivative of f(x)=sqrt(x)+1/(sqrt(x)) ...
Text Solution
|
Evaluate: int{(2x-3)^5+1/((7x-5)^3)+1/(sqrt(5x-4))+1/(2-3x)+sqrt(3x+2)...
Text Solution
|
Evaluate: (i) inte^(2x-3)\ dx (ii) inta^(3x+2)\ dx
Text Solution
|
Evaluate: (i) intsec^2(7-4x)\ dx (ii) int1/(sin^2xcos^2x)\ dx
Text Solution
|
Evaluate: (i) intcos e c^2(3x+2)\ dx (ii) intsin(a x+b)cos(a x+b)\ dx
Text Solution
|
Evaluate: (i) int(sin4x)/(sin2x)\ dx (ii) int(sin4x)/(cos2x)\ dx
Text Solution
|
Evaluate: int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)\ dx
Text Solution
|
intsqrt(1+sinx)dx
Text Solution
|
Evaluate: int1/(sqrt(3x+4)-sqrt(3x+1))dxdot
Text Solution
|
Evaluate: int1/(sqrt(1-2x)+sqrt(3-2x))\ dx
Text Solution
|